Earth system models and general circulation models couple many submodels in time and space. As such, numerical errors are introduced at the geometrical interfaces between components. The magnitude of the numerical error in time can be estimated using iterative coupling algorithms, so-called Schwarz waveform relaxation (SWR). Past studies have shown significant differences between classical coupling algorithms and SWR solutions in the case of atmosphere-ocean coupling (Marti et al., 2021, Lemarié et al., 2014). These studies have not considered the sea ice component; the sensitivity of this three-component system to the coupling algorithm is poorly understood both theoretically and in numerical studies. We aim to close this knowledge gap by systematically studying the coupling error of the EC-Earth Atmosphere-Ocean Single Column Model (Hartung et al., 2018). Our poster presents numerical results comparing standard coupling algorithms with SWR solutions of this coupled atmosphere-ocean-sea ice model.